Q58 / 160 · TS EAMCET 2023 (13 May Shift 2) · Mathematics

All the letters of the word 'INDEED' are taken and permuted in all possible ways to form distinct 6 letter strings (words with or without meaning). If they are listed in dictionary order, then the rank position of the string 'NIDDEE' is

  • A
    349
  • B
    325
  • C
    163
  • Correct answer
    D
    175

Solution

(d) INDEED $$ \begin{aligned} & \text { D }-----=\frac{5 !}{2 !}=60 \\ & \text { E }-----=\frac{5 !}{2 !}=60 \\ & \text { I }-----=\frac{5 !}{2 ! 2 !}=30 \\ & \text { ND }-----=\frac{4 !}{2 !}=12 \\ & \mathrm{NE}-----=\frac{4 !}{2 !}=12 \\ & \text { NIDDEE }\quad\quad=1 \\ & \text { TOTAL } \quad\quad=175 \\ & \end{aligned} $$

Hence, the correct answer is option: 'D'.

Relevant Questions